What'll happen if the ROS publisher failed to publish in time?

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Hello, I'm using ROS kinetic with Ubuntu 16.04.

Although I'm familiar with ROS on some levels, I'm not sure what'll happen if my publish couldn't do its job in time.

My customed node hasn't gone well so far; from the specific time, it doesn't return output topic.

Though I made it calculate a little more than other nodes do, I don't think there aren't as much as DeepLearning does at all.

What I've suffered from is,

From the specific time, just so you know the node is still alive, it never returns the output topic

If anyone can give me any other advice, I'll appreciate it.

Thanks in advance :)